PRODUCT Alpha Beta Delta Gamma Price $350.00 $400.00 $500.00 $320.00 Material Cost $50.00 $40.00 $125.00 $150.00 Weekly Demand in Units 100 60 50 80 Processing Time at Machine 1 in Minutes 20 40 10 Processing Time at Machine 2 in Minutes 25 20 50 Processing Time at 20 60 30 Machine 3 in Minutes

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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Supertronics, Inc., would like to know how the firm’s profit-
ability is altered by product mix. Currently, product mix is
determined by giving priority to the product with the highest
per-unit contribution margin (defined as the difference be-
tween price and material cost). Details on the Supertronics
product line, including processing time at each workstation,
follow:a. Assume that Supertronics has 5,500 minutes of capacity
available at each workstation each week. Develop a linear
program to define the production mix that maximizes
contribution margin.
b. Solve your formulation using a computer package such as
POM for Windows.

c. Given your solution for part (b), which machine is the
bottleneck?
d. How would your formulation and solution in part
(b) change if 50 units of each product were already
committed to customers and thereby had to be
produced?

PRODUCT
Alpha
Beta
Delta
Gamma
Price
$350.00 $400.00 $500.00
$320.00
Material Cost
$50.00
$40.00 $125.00 $150.00
Weekly Demand in Units
100
60
50
80
Processing Time at
Machine 1 in Minutes
20
40
10
Processing Time at
Machine 2 in Minutes
25
20
50
Processing Time at
20
60
30
Machine 3 in Minutes
Transcribed Image Text:PRODUCT Alpha Beta Delta Gamma Price $350.00 $400.00 $500.00 $320.00 Material Cost $50.00 $40.00 $125.00 $150.00 Weekly Demand in Units 100 60 50 80 Processing Time at Machine 1 in Minutes 20 40 10 Processing Time at Machine 2 in Minutes 25 20 50 Processing Time at 20 60 30 Machine 3 in Minutes
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